27,723,472

2⁴ × 7 × 247531

27,723,472 factors as 2^4 × 7 × 247531. Its 20 positive divisors give a proper-divisor sum of 33,664,464, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 247531

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 61,387,936

Proper Divisor Sum 33,664,464

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #27723431 ← → #27723491

Radix Representation

Decimal	27723472
Binary	1101001110000011011010000 (25 bits)
Octal	0o151603320
Hexadecimal	0x1A706D0

Divisor Catalog (20)

Collatz Trajectory (131 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

27,723,472 13,861,736 6,930,868 3,465,434 1,732,717 5,198,152 2,599,076 1,299,538 649,769 1,949,308 974,654 487,327 1,461,982 730,991 2,192,974 1,096,487 3,289,462 1,644,731 4,934,194 2,467,097 7,401,292 3,700,646 1,850,323 5,550,970 2,775,485 8,326,456 4,163,228 2,081,614 1,040,807 3,122,422 1,561,211 4,683,634 2,341,817 7,025,452 3,512,726 1,756,363 5,269,090 2,634,545 7,903,636 3,951,818 1,975,909 5,927,728 2,963,864 1,481,932 740,966 370,483 1,111,450 555,725 1,667,176 833,588 416,794 208,397 625,192 312,596 156,298 78,149 234,448 117,224 58,612 29,306

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